5 papers
Juhl type formulas for curved Ovsienko--Redou operators
Shane Chern, Zetian Yan
We prove Juhl type formulas for the curved Ovsienko--Redou operators and their linear analogues, which indicate the associated formal self-adjointness, thereby confirming two conje…
Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds
Zetian Yan
We prove that a stable -to-edge properly embedded free boundary minimal hypersurface of a -dimensional wedge domain with angle is flat.
Sharp weighted CR trace Sobolev inequalities
Gunhee Cho, Zetian Yan
We establish a sharp Sobolev trace inequality on the Siegel domain involving the weighted norm-. The inequality is closely related the reali…
Improved Sobolev inequalities on CR shpere
Zetian Yan
We establish improved CR Sobolev inequalities on CR sphere under the vanishing of higher order moments of the volume element. As a direct application, we give a simpler proof of th…
The weighted Yamabe problem with boundary
Pak Tung Ho, Jinwoo Shin, Zetian Yan
We introduce a Yamabe-type flow \begin{align*} \left\{ \begin{array}{ll} \frac{\partial g}{\partial t} &=(r^m_ϕ-R^m_ϕ)g \\ \frac{\partial ϕ}{\partial t} &=\frac{m}{2}(R^m_ϕ-r^m_ϕ)…